Question

What is the equation of the line that goes through `(5, -6)` and is perpendicular to `y=9`?

Answer 1

See the entire solution explanation below:

Explanation:

`y = 9` is a vertical line because it has a value of `9` for each and every value of `x`.

Therefore, a line perpendicular to the will be a horizontal line and `x` will have the same value for each and every value of `y`.

The equation for a horizontal line is `x = a`.

In this case we are given the point `(5, -6)` which has a value of `5` for `x`.

Therefore, the equation for the line in this problem is:

`x = 5`